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Finding the Fourth Proportional to 380,879.10, 571,413.11 and 268,778.34

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Solution

The fourth proportional to 380,879.10, 571,413.11 and 268,778.34 is: 403,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,879.10 : 571,413.11 = 268,778.34 : x
  2. Step 2: Convert to fraction form
    380,879.10/571,413.11 = 268,778.34/x
  3. Step 3: Cross multiply
    380,879.10x = 571,413.11 × 268,778.34
  4. Step 4: Simplify right side
    380,879.10x = 153,583,465,816.15
  5. Step 5: Solve for x
    x = 153,583,465,816.15/380,879.10
  6. Step 6: Final answer
    x = 403,234.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.